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Finding the Fourth Proportional to 3,218.28, 4,827.52 and 1,028.66

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Solution

The fourth proportional to 3,218.28, 4,827.52 and 1,028.66 is: 1,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.28 : 4,827.52 = 1,028.66 : x
  2. Step 2: Convert to fraction form
    3,218.28/4,827.52 = 1,028.66/x
  3. Step 3: Cross multiply
    3,218.28x = 4,827.52 × 1,028.66
  4. Step 4: Simplify right side
    3,218.28x = 4,965,876.72
  5. Step 5: Solve for x
    x = 4,965,876.72/3,218.28
  6. Step 6: Final answer
    x = 1,543.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.